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379296972 = 223323315073
BaseRepresentation
bin10110100110111…
…001110011001100
3222102201021122000
4112212321303030
51234100000342
6101345352300
712253654035
oct2646716314
9872637560
10379296972
1118511547a
12a7038690
13607731a2
1438535a8c
152347444c
hex169b9ccc

379296972 has 48 divisors (see below), whose sum is σ = 987648480. Its totient is φ = 125881344.

The previous prime is 379296961. The next prime is 379296989. The reversal of 379296972 is 279692973.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17628 + ... + 32700.

It is an arithmetic number, because the mean of its divisors is an integer number (20576010).

Almost surely, 2379296972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379296972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493824240).

379296972 is an abundant number, since it is smaller than the sum of its proper divisors (608351508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

379296972 is a wasteful number, since it uses less digits than its factorization.

379296972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15319 (or 15311 counting only the distinct ones).

The product of its digits is 2571912, while the sum is 54.

The square root of 379296972 is about 19475.5480539060. The cubic root of 379296972 is about 723.8686894934.

The spelling of 379296972 in words is "three hundred seventy-nine million, two hundred ninety-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 233 466 699 932 1398 2097 2796 4194 6291 8388 12582 15073 25164 30146 45219 60292 90438 135657 180876 271314 406971 542628 813942 1627884 3512009 7024018 10536027 14048036 21072054 31608081 42144108 63216162 94824243 126432324 189648486 379296972